Information on Result #1084658
Linear OOA(3224, 4194403, F3, 4, 15) (dual of [(4194403, 4), 16777388, 16]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(313, 103, F3, 4, 5) (dual of [(103, 4), 399, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (8, 13, 103)-net over F3, using
- linear OOA(361, 2097150, F3, 4, 7) (dual of [(2097150, 4), 8388539, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(361, 2796200, F3, 4, 7) (dual of [(2796200, 4), 11184739, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(361, 8388601, F3, 7) (dual of [8388601, 8388540, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(361, large, F3, 7) (dual of [large, large−61, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(361, large, F3, 7) (dual of [large, large−61, 8]-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(361, 8388601, F3, 7) (dual of [8388601, 8388540, 8]-code), using
- discarding factors / shortening the dual code based on linear OOA(361, 2796200, F3, 4, 7) (dual of [(2796200, 4), 11184739, 8]-NRT-code), using
- linear OOA(3150, 2097150, F3, 4, 15) (dual of [(2097150, 4), 8388450, 16]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3150, 8388600, F3, 15) (dual of [8388600, 8388450, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(3150, large, F3, 15) (dual of [large, large−150, 16]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(3150, large, F3, 15) (dual of [large, large−150, 16]-code), using
- OOA 4-folding [i] based on linear OA(3150, 8388600, F3, 15) (dual of [8388600, 8388450, 16]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3225, 4194403, F3, 4, 15) (dual of [(4194403, 4), 16777387, 16]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3224, 2097201, F3, 20, 15) (dual of [(2097201, 20), 41943796, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |